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Unformatted text preview: Angular Momentum II 1. A string is wrapped around a disc of mass M = 2.4 kg and radius R = 0.08 m. Starting from rest, you pull the string with a constant force F = 7 N along a nearly frictionless surface. At the instant when the center of the disc has moved a distance d = 0.11 m, a length L = 0.25 m of string has unwound off the disc. At this instant, (a) what is the speed of the disc? (b) what is the linear momentum of the disc? (c) what is the translational kinetic energy of the disc? (d) what is the rotational kinetic energy of the disc? (e) what is the magnitude of the rotational angular momentum (i.e. spin angular momentum) of the disc? (f) what is the rotational angular momentum (i.e. spin angular momentum) vector? (g) what is the total angular momentum of the disc relative to the starting point? (h) what is the angular speed of the disc in both rad/s and rev/s? 2. A stationary bicycle wheel of radius R is mounted in the vertical plane on a horizontal frictionless axle. The wheel has mass M, all concentrated in the rim. A lump of clay of mass m falls and sticks to the outer edge of the wheel at the location shown. Just before the impact the clay has a speed v. a) Just before impact, what is the angular momentum of the combined system of wheel plus clay about the center C? clay about the center C?...
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